Difference Factorizations and Monotonicity in Inverse Medium Scattering for Contrasts with Fixed Sign on the Boundary

DOI10.1137/16M1060819zbMath1355.78026arXiv1602.02883OpenAlexW2546968232WikidataQ114074332 ScholiaQ114074332MaRDI QIDQ2832323

Armin Lechleiter, Evgeny Lakshtanov

Publication date: 11 November 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02883

zbMATH Keywords

monotonicityfactorizationinverse scatteringcharacterization of boundary values

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Pseudodifferential operators (47G30)

Related Items (10)

The factorization and monotonicity method for the defect in an open periodic waveguide ⋮ Inside-outside duality for a class of modified transmission eigenvalues ⋮ Monotonicity-based shape reconstruction for an inverse scattering problem in a waveguide ⋮ Monotonicity in inverse scattering for Maxwell's equations ⋮ Monotonicity in Inverse Medium Scattering on Unbounded Domains ⋮ Real-Time Imaging of Interfacial Damage in Heterogeneous Composites ⋮ CGO-Faddeev approach for complex conductivities with regular jumps in two dimensions ⋮ Inside–outside duality with artificial backgrounds ⋮ The monotonicity method for the inverse crack scattering problem ⋮ Remarks on the factorization and monotonicity method for inverse acoustic scatterings

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